12239353728 has 768 divisors, whose sum is σ = 46437580800. Its totient is φ = 3009871872.

The previous prime is 12239353727. The next prime is 12239353729. The reversal of 12239353728 is 82735393221.

12239353728 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 93 + 537 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (12239353727) and next prime (12239353729).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12239353727) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 96372801 + ... + 96372927.

It is an arithmetic number, because the mean of its divisors is an integer number (60465600).

Almost surely, 2^12239353728 is an apocalyptic number.

12239353728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12239353728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23218790400).

12239353728 is an abundant number, since it is smaller than the sum of its proper divisors (34198227072).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12239353728 is a wasteful number, since it uses less digits than its factorization.

12239353728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 212 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

It can be divided in two parts, 122393 and 53728, that added together give a triangular number (176121 = T₅₉₃).

The spelling of 12239353728 in words is "twelve billion, two hundred thirty-nine million, three hundred fifty-three thousand, seven hundred twenty-eight".